The team's research focuses on the theory of equations and functional inequalities and related issues and their applications. We study extensions of the concept of convexity to objects without linear structure (together with Zsolt Páles), problems of stochastic binary games with the use of functional inequalities (together with Maria Słomian) and operator equations on spaces of smooth functions (together with Aleksandra Świątczak).

Team Members: Włodzimierz Fechner, Aleksandra Świątczak (PhD student at the Lodz University of Technology), mgr Maria Słomian (graduate at the Lodz University of Technology); cooperation: Zsolt Páles, Árpád Száz, Zoltán Boros, Eszter Gselmann, Zsolt Páles, Árpád Száz (University of Debrecen)

Essential Publications:
W. Fechner, Z. Páles, Convexity properties of functions defined on metric Abelian groups,
Aequationes Mathematicae 95 (3), 449-481
A. Bartoszewicz, W. Fechner, A. Świątczak, A. Widz, On the c 0 -equivalence and permutations of series, Annals of Functional Analysis 12 (2), 1-10
W. Fechner, Z. Páles, Convexity of sets in metric Abelian groups, Forum Mathematicum 32 (6), 1477-1486
W. Fechner, Richard’s inequality, Cauchy–Schwarz’s inequality, and approximate solutions of Sincov’s equation, Proceedings of the American Mathematical Society 147 (9), 3955-3960
W. Fechner, Á. Száz, Composition iterates, Cauchy, translation, and Sincov inclusions, Acta Universitatis Sapientiae, Mathematica 12 (1), 54-84

External research projects:
Stipendium Hungaricum Tempus Public Foundation
Type of project: Polish-Hungarian bilateral exchange (NAWA)
Contract number: BE AK2018/285228; 21.09.2018-21.12.2018

Awards and distinctions:
Maria Słomian is the winner of the Marian Rejewski competition for the award of the head of the Institute of Mathematics for the best master's thesis written in the field of Applied Mathematics in the academic year 2020/21

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